LeetCode 3375: Minimum Operations to Make Array Values Equal to K Solution

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3375. Minimum Operations to Make Array Values Equal to K

Problem Explanation

Explanation

To solve this problem, we need to find a valid integer h such that all elements greater than h are equal to each other. We can find the minimum number of operations required to make every element in the array equal to k by iteratively choosing valid integers h in decreasing order until all elements become equal to k.

  1. Sort the input array nums in non-increasing order.
  2. Initialize operations counter to 0.
  3. Iterate over the sorted array in descending order:
    • If the current element is less than k, update k to the current element.
    • If the current element is greater than k, increment operations by the difference between the current element and k and update k to the current element.
  4. If k becomes equal to the first element in the sorted array, return operations. Otherwise, return -1.

Time Complexity: O(n log n) due to sorting, where n is the number of elements in the array. Space Complexity: O(1) as we are using constant extra space.

Solution Code

import java.util.Arrays;

class Solution {
    public int minOperations(int[] nums, int k) {
        Arrays.sort(nums);
        int operations = 0;
        
        for (int i = nums.length - 1; i >= 0; i--) {
            if (nums[i] < k) {
                k = nums[i];
            } else if (nums[i] > k) {
                operations += (nums[i] - k);
                k = nums[i];
            }
        }
        
        return k == nums[nums.length - 1] ? operations : -1;
    }
}

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